138302675804160 has 1344 divisors, whose sum is σ = 572709438109440. Its totient is φ = 31572441169920.

The previous prime is 138302675804159. The next prime is 138302675804173. The reversal of 138302675804160 is 61408576203831.

138302675804160 is a `hidden beast` number, since 1 + 3 + 8 + 30 + 26 + 7 + 580 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138302675804097 and 138302675804106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82965011647 + ... + 82965013313.

Almost surely, 2^{138302675804160} is an apocalyptic number.

138302675804160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138302675804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286354719054720).

138302675804160 is an abundant number, since it is smaller than the sum of its proper divisors (434406762305280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138302675804160 is a wasteful number, since it uses less digits than its factorization.

138302675804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138302675804160 in words is "one hundred thirty-eight trillion, three hundred two billion, six hundred seventy-five million, eight hundred four thousand, one hundred sixty".